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A new relativistic formulation of MOND is advanced, involving two metrics as independent degrees of freedom: the MOND metric g_mn, to which alone matter couples, and an auxiliary metric g*_mn. The main idea hinges on the fact that we can…

General Relativity and Quantum Cosmology · Physics 2010-05-05 Mordehai Milgrom

The stability of spiral galaxies is compared in modified Newtonian Dynamics (MOND) and Newtonian dynamics with dark matter (DM). We extend our previous simulations that involved pure stellar discs without gas, to deal with the effects of…

Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes

Velocities in stable circular orbits about galaxies, a measure of centripetal gravitation, exceed the expected Kepler/Newton velocity as orbital radius increases. Standard LCDM attributes this anomaly to galactic dark matter. McGaugh et al…

Astrophysics of Galaxies · Physics 2018-07-11 R. K. Nesbet

We report that the density profiles of globular cluster (GC) systems in a sample of 17 early-type galaxies (ETGs) show breaks at the radii where the gravitational acceleration exerted by the stars equals the galactic acceleration scale…

Astrophysics of Galaxies · Physics 2019-09-04 Michal Bílek , Srdjan Samurović , Florent Renaud

The rotation curves and the relative mass distributions of the two nearby Local Group spiral galaxies, M31 and M33, show discrepancies with Modified Newtonian dynamic (MOND) predictions. In M33 the discrepancy lies in the kinematics of the…

Astrophysics · Physics 2008-11-26 Edvige Corbelli , Paolo Salucci

A sample of 22 spiral galaxy rotation curves, measured in the 21 cm line of neutral hydrogen, is considered in the context of Milgrom's modified dynamics (MOND). Combined with the previous highly selected sample of Begeman et al. (1990),…

Astrophysics · Physics 2009-10-28 R. H. Sanders

Milgrom's Modified Newtonian dynamics (MOND) provides an efficient way to summarize phenomenology of galaxies which does not lean on the notion of dark matter; it has great predictive power. Here I briefly review MOND as well as its…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-22 Jacob D. Bekenstein

Milgrom has proposed that the appearance of discrepancies between the Newtonian dynamical mass and the directly observable mass in astronomical systems could be due to a breakdown of Newtonian dynamics in the limit of low accelerations…

Astrophysics · Physics 2007-05-23 R. H. Sanders

MOdified Newtonian dynamics (MOND) represents a phenomenological alternative to dark matter (DM) for the missing mass problem in galaxies and clusters of galaxies. We analyze the central regions of a local sample of $\sim 220$ early-type…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 C. Tortora , A. J. Romanowsky , V. F. Cardone , N. R. Napolitano , Ph. Jetzer

We test the modified Newtonian dynamics (MOND) theory with the velocity-dispersion profiles of Galactic globular clusters populating the outermost region of the Milky Way halo, where the Galactic acceleration is lower than the…

Astrophysics of Galaxies · Physics 2015-05-14 A. Sollima , C. Nipoti

A sample of Coma cluster ultra-diffuse galaxies (UDGs) are modelled in the context of Extended Modified Newtonian Dynamics (EMOND) with the aim to explain the large dark matter-like effect observed in these cluster galaxies. We first build…

Astrophysics of Galaxies · Physics 2017-11-22 Alistair O Hodson , Hongsheng Zhao

One possibility for explaining the apparent accelerating expansion of the universe is that we live in the center of a spherically inhomogeneous universe. Although current observations cannot fully distinguish $\Lambda$CDM and these…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Kent Yagi , Atsushi Nishizawa , Chul-Moon Yoo

We numerically determine the cosmological branch of the free function in a nonlocal metric-based modification of gravity which provides a relativistic generalization of Milgrom's Modified Newtonian Dynamics. We are able to reproduce the…

General Relativity and Quantum Cosmology · Physics 2016-11-11 M. Kim , M. H. Rahat , M. Sayeb , L. Tan , R. P. Woodard , B. Xu

We review the progress in modelling the galaxy population in hydrodynamical simulations of the Lambda-CDM cosmogony. State-of-the-art simulations now broadly reproduce the observed spatial clustering of galaxies, the distributions of key…

Astrophysics of Galaxies · Physics 2023-10-02 Robert A. Crain , Freeke van de Voort

We review theoretical approaches to the study of galaxy formation, with emphasis on the role of hydrodynamic simulations in modeling the high redshift galaxy population. We present new predictions for the abundance of star-forming galaxies…

Astrophysics · Physics 2007-05-23 David H. Weinberg , Romeel Dave' , Jeffrey P. Gardner , Lars Hernquist , Neal Katz

The $\Lambda$CDM concordance cosmological model provides a remarkably successful description of the formation and evolution of structure in the Universe. However, a growing discrepancy between measurements of the expansion rate $H_0$ from…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-10 Isaque Dutra , Colin J. Burke , Priyamvada Natarajan , Weixiang Yu

We compare N-body simulations of isolated galaxies performed in both frameworks of modified Newtonian dynamics (MOND) and Newtonian gravity with dark matter (DM). We have developed a multigrid code able to efficiently solve the modified…

Astrophysics · Physics 2009-11-13 O. Tiret , F. Combes

Modified Newtonian dynamics (MOND) is an alternative theory of gravity that aims to explain large-scale dynamics without recourse to any form of dark matter. However the theory is incomplete, lacking a relativistic counterpart, and so makes…

Astrophysics · Physics 2008-11-26 Daniel J. Mortlock , Edwin L. Turner

Observed rotation curves of dwarf galaxies exhibit significant diversity at fixed halo mass, challenging galaxy formation within the Cold Dark Matter (CDM) model. Previous cosmological galaxy formation simulations with baryonic physics fail…

We present detailed semi-analytical models for the formation of disk galaxies both in a Universe dominated by dark matter (DM), and in one for which the force law is given by modified Newtonian dynamics (MOND). We tune the models to fit the…

Astrophysics · Physics 2009-10-31 Frank C. van den Bosch , Julianne J. Dalcanton